Vol. 8, No. 4, 2019

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Counting formulas for CM-types

Masanari Kida

Vol. 8 (2019), No. 4, 343–356
Abstract

We prove various counting formulas for CM-types of CM-fields and use them to construct infinite families of degenerate CM-types.

Keywords
CM-types, degenerate CM-types, Hodge conjecture
Mathematical Subject Classification 2010
Primary: 11G15, 14K22
Milestones
Received: 14 March 2019
Revised: 17 May 2019
Accepted: 31 May 2019
Published: 11 October 2019
Authors
Masanari Kida
Department of Mathematics
Faculty of Science Division I
Tokyo University of Science
Tokyo
Japan